λ
Math Directory

7,609,556

22 × 1902389
Deficient Even Composite

7,609,556 factors as 2^2 × 1902389. Its 6 positive divisors give a proper-divisor sum of 5,707,174, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 1902389
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,316,730
Proper Divisor Sum 5,707,174
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7609543 ← → #7609577

Radix Representation

Decimal 7609556
Binary 11101000001110011010100 (23 bits)
Octal 0o35016324
Hexadecimal 0x741CD4

Divisor Catalog (6)

1 2 4 1,902,389 3,804,778 7,609,556

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,609,556 3,804,778 1,902,389 5,707,168 2,853,584 1,426,792 713,396 356,698 178,349 535,048 267,524 133,762 66,881 200,644 100,322 50,161 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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